Explain why the diagram shows that 6(3 + 4) = 6.3 +6.4.

Melinda and Marcus are saving money to purchase a present for a friend. Each friend starts with an amount and also saves a speci

Goshia [24]

Let's find the rates at which Melinda and Marcus are saving money and compare them.
Based on the table, we can see that Melinda originally had $75. Then she got $135 in 5 weeks. So the rate of saving money is (135–75)/5 = $12 per week.
This rate is unchanged for the next weeks. As we can see, she got $195 in the next 5 weeks. So she saved $60 more those 5 weeks, or the rate is $60/5 = $12 per week again.

So Melinda saved $12 per week.
As for Marcus, the equation tells us that the rate of saving money is $14 which is the coefficient in front of x.

Hence, the rate at which Melinda is adding to her savings each week is 2$
less than the rate at which Marcus is adding to his savings each week.

5 0

3 years ago

Read 2 more answers

alana found a sofa she wants to buy for her new apartment.the sofa cost $950.00 plus tax if Alana paid $999.40 for the sofa, wha

Yuliya22 [10]

Answer:

5.2%

Step-by-step explanation:

((999.4 × 100) ÷ 950) - 100

(99,940 ÷ 950) - 100

105.2 - 100

5.2

4 0

3 years ago

Thank u :)!! for the help

Simora [160]

Answer:

$0.75

Step-by-step explanation:

Consider any one of the values given in the table.

Cost of 5 tickets = $3.75

So, cost of 1 ticket

= $3.75/5

= $0.75

Verification:

Verify the answer by other values.

Cost of 10 tickets = $7.50

So, cost of 1 ticket

= $7.50/10

= $0.75

Cost of 15 tickets = $11.25

So, cost of 1 ticket

= $11.25/15

= $0.75

Cost of 20 tickets = $15.00

So, cost of 1 ticket

= $15.00/20

= $0.75

The cost of 1 ticket is same in all cases.

Hence, verified.

5 0

3 years ago

Simplify (b^4)^3. ❤️ SLAT*_^}

KiRa [710]

Answer:

$b^1^2$

Step-by-step explanation:

First, multiply by exponent rule.

$(x^y)^z=x^y^z$

$b^4^*^3$

Then, multiply by the numbers from left to right.

$4*3=12$

$b^1^2$ , is the correct answer. 

6 0

3 years ago

Read 2 more answers

PLEASE ANSWER FAST THIS IS DUE IN 10 MINUTES

Elena-2011 [213]

The expressions that are equal to 61 are

|−61|
The distance from zero to −61
−(−61)
The opposite of −61

<h3>How to determine the expressions?</h3>

The value of the expression is given as:

Value = 61

Next, we evaluate the options:

Option 1: |−61|

The expression is given as:

Expression = |-61|

Remove the absolute sign

Expression = 61

Hence, |-61| equals 61

Option 2: The distance from zero to −61

This is represented as:

Distance = |-61 - 0|

Evaluate the difference

Distance = |-61|

Remove the absolute sign

Distance = 61

Hence, the distance from zero to −61 is 61

Option 3: The opposite of 61

The opposite of 61 is represented as:

Opposite = -(61)

Evaluate

Opposite = -61

Hence, the opposite of 61 is -61

Option 4:−(−61)

The expression is given as:

Expression = -(-61)

Remove the bracket

Expression = 61

Hence, -(-61) equals 61

Option 5: the opposite of −61

The opposite of -61 is represented as:

Opposite = -(-61)

Evaluate

Opposite = 61

Hence, the opposite of -61 is 61

Option 6: −|−61|

The expression is given as:

Expression = -|-61|

Remove the absolute sign

Expression = -61

Hence, -|-61| equals -61

Option 6: −|61|

The expression is given as:

Expression = -|61|

Remove the absolute sign

Expression = -61

Hence, -|61| equals -61